Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 129089 Luke Durant 1 58.0015 31059 Curtis Cooper 9 56.5769 27949 Patrick Laroche 1 56.4714 22770 Jonathan (Jon) Pace 1 56.2664 19251 Ryan Propper 375 56.0985 5518 Tom Greer 128 54.8491 4465 Serge Batalov 387.333 54.6374 3831 Edson Smith 1 54.4841 3705 Odd Magnar Strindmo 1 54.4507 2431 Hans-Michael Elvenich 1 54.0294 1480 Dr. James Scott Brown 197 53.5333 1471 Steven R. Boone 1 53.5273 1421 Péter Szabolcs 1 53.4922 944 Antonio Lucendo 36 53.0831 935 Anonymous Person(s) 160 53.0734 812 Dr. Martin Nowak 1 52.9330 756 Vaughan Davies 157 52.8616 742 Mark Williams 20 52.8423 641 Josh Findley 1 52.6968 604 Valter Cavecchia 98 52.6365

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.